# There are two numbers whose sum is 53. three times the smaller is equal to 19 more than the larger number. what are the numbers?

2 answers

###### Question:

There are two numbers whose sum is 53. three times the smaller is equal to 19 more than the larger number. what are the numbers?

## Answers

Two numbers whose sum is 53=X+YTranspose Y to the other side to obtain: X=53-Y - Equation 13X=19+Y - Equation 2Substitute Equation 1 into Equation 2: 3(53-Y)=19+Y - use distributive property to distribute 3159-3Y=19+Y group similar expressions by using transposition140=4Y divide both sides by four35=Y53=X+35 transpose 35 to the left side53-35=XX=18The numbers are 35 and 18

Answer:The numbers are 35 and 18

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